Instantons and the chiral phase transition - INSPIRE

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Instantons and the chiral phase transition

Thomas Appelquist
(
- Yale U.
)
,
Stephen B. Selipsky
(
- Yale U.
)

Feb, 1997

9 pages

Published in:

Phys.Lett.B 400 (1997) 364-369

e-Print:

hep-ph/9702404 [hep-ph]

DOI:

10.1016/S0370-2693(97)00369-9

Report number:

YCTP-P1-97

View in:

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Abstract:

We examine the role of instantons in the zero-temperature chiral phase transition in an SU(N) gauge theory. For a range of N_f (the number of fermion flavors) depending on N, the theory exhibits an infrared fixed point at coupling

\alpha_*

. As N_f decreases,

\alpha_*

increases, and it eventually exceeds a critical value sufficient to trigger chiral symmetry breaking. For the case N = 2, we estimate the critical values of N_f and

\alpha_*

due to instantons by numerically solving a gap equation with an instanton-generated kernel. We find instanton effects of strength comparable to that of gluon exchange.

Note:

LaTeX, 9 pages, including 2 figures in EPS format Report-no: YCTP-P1-97

gauge field theory: SU(N)
fermion
gauge field theory: Theta parameter
symmetry: chiral
spontaneous symmetry breaking
critical phenomena
field theory: instanton

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